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Finding the Fourth Proportional to 14,513.76, 21,768.48 and 4,652.01

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Solution

The fourth proportional to 14,513.76, 21,768.48 and 4,652.01 is: 6,977.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,513.76 : 21,768.48 = 4,652.01 : x
  2. Step 2: Convert to fraction form
    14,513.76/21,768.48 = 4,652.01/x
  3. Step 3: Cross multiply
    14,513.76x = 21,768.48 × 4,652.01
  4. Step 4: Simplify right side
    14,513.76x = 101,267,186.64
  5. Step 5: Solve for x
    x = 101,267,186.64/14,513.76
  6. Step 6: Final answer
    x = 6,977.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.